Turkey accuses the cleric, Fethullah Gulen, and the US of orchestrating last July’s failed coup.

In a video interview, Mr Woolsey told the Wall Street Journal he was present at a discussion about removal methods beyond the legal extradition process.

Mr Flynn disputes Mr Woolsey’s account.

The meeting took place last September at a New York Hotel.

Those present included Mr Flynn, then an adviser on national security to the Trump election campaign, the son-in-law of Turkish President Recep Tayyip Erdogan, and Turkish Foreign Minister Mevlut Cavusoglu, according to the WSJ (paywall).

‘Brainstorming’

Mr Woolsey, then also advising the Trump campaign, admitted he might not have heard “some kind of caveat” because he arrived late for the meeting.

But he told the WSJ: “There was serious discussion of finding some way to move Mr Gulen out of the US to Turkey.

“You might call it brainstorming. But it was brainstorming about a very serious matter that would pretty clearly be a violation of law.”

He went on: “It was a serious and troubling discussion but it did not, repeat not, in my portion of being in the room, rise to a level of being a specific plan to undertake a felonious act.”

In a later interview with CNN, Mr Woolsey called the meeting “suspicious” and “concerning”, saying: “I felt I needed to say something to somebody, but was it a clear plot that they were going to seize him? No.”

A spokesman for Mr Flynn, whose consulting company Flynn Intel Group carried out work for the Turkish government, disputed Mr Woolsey’s version of events.

“At no time did Gen Flynn discuss any illegal actions, non-judicial physical removal or any other such activities,” he said

The presence of Mr Gulen in the US has become a major irritant in relations between Washington and Ankara. Turkey has repeatedly called for him to be handed over.

Mr Gulen, who has lived in Pennsylvania since 1999, denies involvement in the failed coup.